Publication: Decay rate of solution for a Lord-Shulman thermoelastic Timoshenko system with impacts of microtemperature without mechanical damping
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Date
2024
Authors
Choucha A.
Boulaaras S.
Guefaifia R.
Jan R.
Journal Title
Journal ISSN
Volume Title
Publisher
John Wiley and Sons Ltd
Abstract
In this study, our primary emphasis lies in examining and exploring the decay rate of solutions of a Lord-Shulman thermoelastic Timoshenko model with microtemperature impact. Through the application of the energy method within the Fourier space and subject to appropriate assumptions, we prove that the decay rate of the solution is of the form (Formula presented.) in the case of absence of mechanical damping term. ? 2024 John Wiley & Sons Ltd.
Description
Keywords
Decay (organic) , Fourier transforms , Mathematical operators , Thermoelasticity , Decay rate , Energy method , Fourier space , Lord-shulman , Mechanical damping , Microtemperature damping , Systems with impacts , Thermoelastics , Timoshenko model , Timoshenko's system , Damping